What is the answer to (x+a)(x-7)=3x^2-2x-x-28-2x^2 ?

The answer to (x+a)(x-7)=3x^2-2x-x-28-2x^2 is x=7;\quad a\ne 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x+a)(x-7)=3x^2-2x-x-28-2x^2

(x + a) (x - 7) = 3 x^{2} - 2 x - x - 28 - 2 x^{2}

x = 7; a \neq = 4

Solution steps

(x + a) (x - 7) = 3 x^{2} - 2 x - x - 28 - 2 x^{2}

Group like terms

(x + a) (x - 7) = 3 x^{2} - 2 x^{2} - 2 x - x - 28

Add similar elements:

3 x^{2} - 2 x^{2} = x^{2}

(x + a) (x - 7) = x^{2} - 2 x - x - 28

Add similar elements:

- 2 x - x = - 3 x

(x + a) (x - 7) = x^{2} - 3 x - 28

Expand

(x + a) (x - 7) : x^{2} - 7 x + a x - 7 a

x^{2} - 7 x + a x - 7 a = x^{2} - 3 x - 28

Move

7 a

to the right side

x^{2} - 7 x + a x = x^{2} - 3 x - 28 + 7 a

Subtract

x^{2} - 3 x

from both sides

x^{2} - 7 x + a x - (x^{2} - 3 x) = x^{2} - 3 x - 28 + 7 a - (x^{2} - 3 x)

Simplify

a x - 4 x = - 28 + 7 a

Factor

a x - 4 x : x (a - 4)

x (a - 4) = - 28 + 7 a

Divide both sides by

a - 4; a \neq = 4

x = 7; a \neq = 4

- 4 (- 2 S + 4) = 10 S - 12

6 + x = c

\frac{x - 3}{4} = 8

2 x - 10 = 8

2 x - 14 = 0

What is the answer to (x+a)(x-7)=3x^2-2x-x-28-2x^2 ?
The answer to (x+a)(x-7)=3x^2-2x-x-28-2x^2 is x=7;\quad a\ne 4